Which of the following numbers comes next in the two-digit decimal number sequence 61, 52, 63, 94, ______?
Step-by-step Solution:
This number series does not follow a simple arithmetic pattern (like adding or subtracting a constant value). The trick to this puzzle is to reverse the digits of each number to reveal a hidden, simpler sequence.
Let's take each number in the series and write it with its digits reversed:
This gives us a new, hidden sequence: 16, 25, 36, 49, ...
This new sequence is a simple and recognizable pattern of consecutive perfect squares:
4², 5², 6², 7², ...
The next number in this pattern of squares would naturally be 8², which is 64.
- The next number in our hidden sequence is 64.
- To find the corresponding number in the original series, we must reverse the digits of 64 back to their original format.
Reversing 64 gives us 46.
Final Answer: The number that comes next in the sequence is 46.